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{\pntxtb (}{\pntxta )}}{\*\pnseclvl9\pnlcrm\pnstart1\pnindent720\pnhang {\pntxtb (}{\pntxta )}}\pard\plain \ltrpar\ql \li0\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin0\itap0 \rtlch\fcs1 \af0\afs24\alang1025 \ltrch\fcs0 
\fs24\lang2057\langfe2057\cgrid\langnp2057\langfenp2057 {\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid787173 ARKEX_MAG}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137 3}{
\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid787173 HG}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid4391522 
\par 
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid94715 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid94715\charrsid16214157 "MagGrad using 3 sensors..."}{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid94715  
\endash  calculate the horizontal magnetic gradients from the three total magnetic field sensors.  Gradients are de-rotated to the specified flight line direction.  
\par }\pard \ltrpar\ql \li0\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin0\itap0 {\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid94715 
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709 Method for calculation of m}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid13441376 agnetic horizontal gradient}{\rtlch\fcs1 
\af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709 s}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid13441376  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid9771601 with data acquired from }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid13441376 three}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709  magnetometers mounted on an airplane}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid9771601 .}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid13441376  
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709 
\par }\pard \ltrpar\ql \li0\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin0\itap0\pararsid787173 {\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid13441376 1. Aim
\par 
\par The algorithm is developed for c}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137\charrsid5245137 alculating Horizontal Gradients }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709 (HG) }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid13441376 in the survey line and the tie line directions respectively }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137 from }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709 three}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137  }{
\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709 total field intensity (}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137 TFI}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709 ) data c}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137 hannel}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709 
s, which is normally stored in Geosoft data base (GDB) format.}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709 The }{
\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137 data}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709  sets are }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137 acquired }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709 in form of}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137  airplane triangle frame in which three magnetometers mounted at }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid1399492 (1) }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137 the left and }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid1399492 (2) }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137 the right wing tips and }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid1399492 (3) }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137 the back}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709  (or front}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid8941788 )}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137 of the air}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid8941788 craft
}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137 . }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid1003200 
HG result is created after rotation transform applied on the basis of flight attitude information, }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229 roll, pitch and heading, which are normally generated from INS.}
{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709 
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid1003200 
\par 2. }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid4680440 Method}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid1003200 
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid14703709 
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid8941788 T}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137 he calculation}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid1399492 s}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid8941788 
comprises of two steps}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid5245137 
\par 
\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229 \hich\af2\dbch\af0\loch\f2 1)\tab}}\pard \ltrpar\ql \fi-360\li360\ri0\nowidctlpar
\jclisttab\tx360\wrapdefault\faauto\ls21\rin0\lin360\itap0\pararsid2823373 {\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229 Calculating four directional derivatives(DDs) defined in the }{\rtlch\fcs1 \af2\afs20 
\ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 aircraft }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229 triangle frame,}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 
\par }\pard \ltrpar\ql \li360\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin360\itap0\pararsid15861880 {\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 
\par }\pard \ltrpar\ql \li627\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin627\itap0\pararsid15861880 {\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 DD12 = }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880\charrsid15861880 (M2-M1)/D12}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 
\par DD32 = }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880\charrsid15861880 (M2-M3)/D32
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 DD31 = }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880\charrsid15861880 (M1-M3)/D31
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 DD30 = }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid1204166 [0.5*}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880\charrsid15861880 (M1}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid1204166 +}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid1204166\charrsid15861880 M2}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid1204166 )-M3]/D30}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229 
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 
\par }\pard \ltrpar\ql \li627\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin627\itap0\pararsid6162229 {\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid1204166 Where w}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 ith}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788  flight heading direction, the above number }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid7342467 of DDxx }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 represents }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid141110 four}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid7342467  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 location}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 s}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788  of magnetometer}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 s}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 , }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 1}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 -}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 left hand side wing tip, }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 2}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 -}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 right}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880\charrsid8941788 hand side wing tip}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 , }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 3}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 -}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 tail}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229 /head}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880  extension tube}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 ,}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880  and}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880 
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 0}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 -}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid15861880  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 middle po}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229 sition between 1 and 2 which is, in fact, }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 a pseudo magnetometer.}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229 
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid1204166 Dxx - distance (meter) between locations.
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 
\par {\listtext\pard\plain\ltrpar \rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid4669570 \hich\af2\dbch\af0\loch\f2 2)\tab}}\pard \ltrpar\ql \fi-360\li360\ri0\nowidctlpar
\jclisttab\tx360\wrapdefault\faauto\ls21\rin0\lin360\itap0\pararsid4669570 {\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid4669570 Based on airplane attitude information, }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229 rotation }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid10889991 transformation }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid4669570 is applied }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229 to the }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid4669570 above }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid4669570\charrsid4669570 tilted }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid4669570 gradients}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229  to generate two magnetic }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid4669570 perpendicular gradients}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229 in survey line and tie line directions respectively }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid6162229\charrsid8941788 (Ms and Mt)}{\rtlch\fcs1 \af2\afs20 
\ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid10889991 , which are specified }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid4669570 on the horizontal plane.}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid10751778 
\par }\pard \ltrpar\ql \li0\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin0\itap0\pararsid2823373 {\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid2823373 
\par Rotation matrix}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid4607747  form for converting three derivative directions}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid2823373 
\par }{\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid2040250\charrsid11345563 {\pict{\*\picprop\shplid1025{\sp{\sn shapeType}{\sv 75}}{\sp{\sn fFlipH}{\sv 0}}{\sp{\sn fFlipV}{\sv 0}}{\sp{\sn fLine}{\sv 0}}{\sp{\sn fLayoutInCell}{\sv 1}}{\sp{\sn fLayoutInCell}{\sv 1}}}
\picscalex100\picscaley100\piccropl0\piccropr0\piccropt0\piccropb0\picw9454\pich3528\picwgoal5360\pichgoal2000\wmetafile8\bliptag537959339\blipupi-452{\*\blipuid 20109bab67eb88169dac33ba20c5439b}
0100090000038d0700000300af01000000000500000009020000000005000000020101000000050000000102ffffff00050000002e0118000000050000000b02
00000000050000000c02800c80211200000026060f001a00ffffffff000010000000c0ffffffb2ffffff40210000320c00000b00000026060f000c004d617468
547970650000f00208000000fa0200001000000000000000040000002d0100000500000014026002e200050000001302600259040500000014024006e2000500
0000130240065904050000001402230ae200050000001302230a5904050000001402ba02e01c050000001302ba0257200500000014024006e01c050000001302
40065720050000001402140ae01c050000001302140a57201c000000fb0280fe0000000000009001000000020402001053796d626f6c00006d130a9a10f91200
58b1f37761b1f3772040f57788136609040000002d01010008000000320abc0a6f2001000000fa7908000000320a4c096f2001000000fa7908000000320adc07
6f2001000000fa7908000000320a6c066f2001000000fa7908000000320afc046f2001000000fa7908000000320a8c036f2001000000fa7908000000320aa80b
6f2001000000fb7908000000320a1c026f2001000000f97908000000320abc0a3e1c01000000ea7908000000320a4c093e1c01000000ea7908000000320adc07
3e1c01000000ea7908000000320a6c063e1c01000000ea7908000000320afc043e1c01000000ea7908000000320a8c033e1c01000000ea7908000000320aa80b
3e1c01000000eb7908000000320a1c023e1c01000000e97908000000320aa00bed1d01000000b67908000000320a8209f41c01000000b67908000000320acc07
e41d01000000b67908000000320aae05f41c01000000b67908000000320a4604e71d01000000b67908000000320a2802f41c01000000b67908000000320aa006
a81b01000000d77908000000320aa006cc1701000000d77908000000320acc08001701000000fa7908000000320a5c07001701000000fa7908000000320aec05
001701000000fa7908000000320a4809001701000000fb7908000000320a7c04001701000000f97908000000320acc08460a01000000ea7908000000320a5c07
460a01000000ea7908000000320aec05460a01000000ea7908000000320a4809460a01000000eb7908000000320a7c04460a01000000e97908000000320ae008
e20a010000002d7908000000320aa0066705010000003d7908000000320ac00b710401000000fa7908000000320a500a710401000000fa7908000000320ae008
710401000000fa7908000000320a7007710401000000fa7908000000320a0006710401000000fa7908000000320a9004710401000000fa7908000000320a2003
710401000000fa7908000000320a140c710401000000fb7908000000320ab001710401000000f97908000000320ac00b400001000000ea7908000000320a500a
400001000000ea7908000000320ae008400001000000ea7908000000320a7007400001000000ea7908000000320a0006400001000000ea7908000000320a9004
400001000000ea7908000000320a2003400001000000ea7908000000320a140c400001000000eb7908000000320ab001400001000000e97908000000320a990b
090301000000a27908000000320aaf0b4d0101000000b67908000000320a9109f60001000000b67908000000320ab607010301000000a27908000000320acc07
450101000000b67908000000320aae05f60001000000b67908000000320ad6030a0301000000a27908000000320aec034e0101000000b67908000000320ace01
f60001000000b6791c000000fb0280fe0000000000009001010000000402001054696d6573204e657720526f6d616e0058b1f37761b1f3772040f57788136609
040000002d01020004000000f001010008000000320aa00ba71e010000007a7908000000320a8209fe1e01000000727908000000320a8209ae1d010000006679
08000000320acc079e1e01000000797908000000320aae05fe1e01000000727908000000320aae05ae1d01000000667908000000320a4604a11e010000007879
08000000320a2802fe1e01000000727908000000320a2802ae1d01000000667908000000320a9109000301000000727908000000320a9109b001010000006679
08000000320aae05000301000000727908000000320aae05b00101000000667908000000320ace01000301000000727908000000320ace01b001010000006679
1c000000fb0280fe0000000000009001000000000402001054696d6573204e657720526f6d616e0058b1f37761b1f3772040f57788136609040000002d010100
04000000f001020008000000320a8209c51f01000000297908000000320a8209741e01000000287908000000320aae05c51f01000000297908000000320aae05
741e01000000287908000000320a2802c51f01000000297908000000320a2802741e01000000287908000000320aa0065c1801000000527908000000320ae008
3a1601000000307908000000320aa0063a1601000000307908000000320a60043a1601000000307908000000320ae008541401000000297909000000320ae008
30110400000073696e2808000000320aa006541401000000296909000000320aa00630110400000073696e2808000000320a6004a71201000000306908000000
320ae008500f01000000296909000000320ae008f00b04000000636f732808000000320aa006c60e01000000296f09000000320aa006660b04000000636f7328
08000000320a6004f50c01000000316f08000000320ae0083b0901000000296f08000000320ae008010701000000286f08000000320aa006440901000000296f
08000000320aa006f90601000000286f08000000320a60043b0901000000296f08000000320a6004020701000000286f08000000320a9109c70301000000296f
08000000320a9109760201000000286f08000000320aae05c70301000000296f08000000320aae05760201000000286f08000000320ace01c70301000000296f
08000000320ace01760201000000286f1c000000fb0220ff0000000000009001000000000402001054696d6573204e657720526f6d616e0058b1f37761b1f377
2040f57788136609040000002d01020004000000f001010008000000320af405811901000000546f09000000320a0007851903000000454e442808000000320a
4009410802000000333108000000320a0007390802000000333208000000320ac004300802000000313208000000320a0f0cf90202000000333108000000320a
2c08f10202000000333208000000320a4c04e8020200000031321c000000fb0280fe000000000000900100000002040200104d5420457874726100130a9c10f9
120058b1f37761b1f3772040f57788136609040000002d01010004000000f001020008000000320a8c08171f01000000723208000000320ab804171f01000000
723208000000320a3201171f01000000723208000000320ae407bb0701000000723208000000320aa405b30701000000723208000000320a6403bc0701000000
723208000000320a9b08190301000000723208000000320ab804190301000000723208000000320ad80019030100000072321c000000fb0280fe000000000000
9001010000020402001053796d626f6c000086130a0710f9120058b1f37761b1f3772040f57788136609040000002d01020004000000f001010008000000320a
e008581301000000713208000000320aa006581301000000713208000000320ae008540e01000000713208000000320aa006ca0d01000000713208000000320a
e0084f07010000006e3208000000320aa0064707010000006e3208000000320a60045007010000006e3208000000320aaf0b0702010000006e3208000000320a
cc07ff01010000006e3208000000320aec030802010000006e32af01000026060f0054034d6174685479706555554803030101030a0a01030300000105010101
0301000001030e00000102860222128366000282280032837200060b0000028229000001028602222284bd0306050000030f01000b0102883100028832000011
000000000a01030e00000102860222128366000282280032837200060b0000028229000001028602222284bd0306050000030f01000b01028833000288320000
11000000000a01030e00000102860222128366000282280032837200060b0000028229000001028602222284bd0306050000030f01000b010288330002883100
00110000000000000a02965b0002965d000002863d00029802eb029802eb029802eb050101010301000001028228002284bd03060b0000030f01000b01028831
00028832000011000a028229000001028228002284bd03060b0000030f01000b0102883300028832000011000a028229000001028228002284bd03060b000003
0f01000b0102883300028831000011000a028229000000029802eb029802eb030300000105010101010300000105010101030100000102883100000112826300
12826f0012827300028228000284b803028229000001028612221282630012826f0012827300028228000284b803028229000000000105010101030100000102
8830000001128273001282690012826e00028228000284b803028229000001128273001282690012826e00028228000284b80302822900000000010501010103
0100000102883000000102883000000102883000000000000002965b0002965d00000286c52202815200030f02000b010281450002814e000281440000010281
540000000a0286c5220303000001050101010301000001030e00000102860222128366000282280032837200060b000002822900000102860222128378000000
0001030e00000102860222128366000282280032837200060b0000028229000001028602221283790000000001030e0000010286022212836600028228003283
7200060b00000282290000010286022212837a00000000000002965b0002965d0000029801eb029801eb029801eb029801eb029801eb029801eb029801eb0298
01eb029801eb029801eb029801eb029801eb029801eb029801eb029801eb029801eb029801eb029801eb029801eb029801eb029801eb00000a00000026060f00
0a00ffffffff0100000000001c000000fb021000070000000000bc02000000000102022253797374656d00098813660900000a0021008a0100000000010000002cfb1200040000002d01010004000000f0010200030000000000}}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\insrsid11345563\charrsid11345563 
\par }\pard \ltrpar\ql \li0\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin0\itap0\pararsid4669570 {\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid4669570 
\par }\pard \ltrpar\ql \li0\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin0\itap0\pararsid4607747 {\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\insrsid4607747 It }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\insrsid4607747\charrsid4607747 
is a final result representing relationship of directional derivatives between XYZ (or NED) frame and the rotated airplane triangle frame, in which the left hand elements}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\insrsid4607747  }{\rtlch\fcs1 
\af2\afs20 \ltrch\fcs0 \f2\fs20\insrsid4607747\charrsid4607747 are measured data and the right hand derivatives are to be estimated. 
\par }\pard \ltrpar\ql \li0\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin0\itap0\pararsid4669570 {\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid4669570 
\par }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid1131357 
\par }\pard \ltrpar\ql \li0\ri0\nowidctlpar\wrapdefault\faauto\rin0\lin0\itap0\pararsid1131357 {\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\insrsid13981281\charrsid1131357 R}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\sub\insrsid13981281\charrsid1131357 TEND}
{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\insrsid13981281\charrsid1131357  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\insrsid1131357\charrsid1131357 is also refers }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\insrsid1131357\charrsid8803623 
to directional cosine matrix}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\insrsid1131357\charrsid1131357  converted with roll}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\insrsid4607747  (r)}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\insrsid1131357\charrsid1131357 , pitch}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\insrsid4607747 (p)}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\insrsid1131357\charrsid1131357  and yaw}{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
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00d0c9ea79f9bace118c8200aa004ba90b02000000010000000303000000000000c00000000000004600001c00000061726b65785f6d61673168675f6d6574686f645f7265662e70707400ffffadde00000000000000000000000000000000000000000000000000}}}{\fldrslt {\rtlch\fcs1 \ai\af2\afs20 
\ltrch\fcs0 \cs15\i\f2\fs20\ul\cf2\lang1033\langfe2057\langnp1033\insrsid7416926\charrsid7416926 arkex_mag1hg_method_ref.ppt}}}\sectd \linex0\sectdefaultcl\sectrsid10299971\sftnbj {\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid7416926 , }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 \f2\fs20\lang1033\langfe2057\langnp1033\insrsid7416926\charrsid7416926  }{\rtlch\fcs1 \af2\afs20 \ltrch\fcs0 
\f2\fs20\lang1033\langfe2057\langnp1033\insrsid7416926 For detail mathematic derivation
\par }}